Overall, our work is restricted to regular graphs, which means homogeneous degrees. Because of this restriction, we are able to obtain closed-form expressions for the relevant parameters of the synchronisation-manifold's stability. In spite of this limitation, our results can help in deriving closed-form expressions for other graphs by means of perturbation theory, which would allow to include degree heterogeneity. For example, our \(k\) -cycle derivations can help when doing perturbation theory on small-world graphs [1]}, [2]}, [3]}, [4]}.
